Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches Calculator

✖Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.ⓘ Transconductance [g_m]			+10% -10%
✖Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.ⓘ Output Resistance [R_out]			+10% -10%
✖Change in Transconductance is a measure of the ability of a device, such as a transistor or vacuum tube, to convert an input voltage signal into an output current signal.ⓘ Change in Transconductance [Δg_m]			+10% -10%

✖Common Mode Rejection Ratio is a measure of the ability of an electronic circuit, such as an amplifier, to reject noise and interference that is common to both the input signals.ⓘ Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches [CMRR]

⎘ Copy

👎

Formula

✖

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches

Formula

`"CMRR" = (2*"g"_{"m"}*"R"_{"out"})/("Δg"_{"m"}/"g"_{"m"})`

Example

`"0.077586"=(2*"0.5mS"*"4.5kΩ")/("29mS"/"0.5mS")`

Calculator

LaTeX

Reset

👍

Download MOSFET Formula PDF PDF Image

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches Solution

STEP 0: Pre-Calculation Summary

Formula Used

Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance)
CMRR = (2*g_m*R_out)/(Δg_m/g_m)
This formula uses 4 Variables

Variables Used

Common Mode Rejection Ratio - Common Mode Rejection Ratio is a measure of the ability of an electronic circuit, such as an amplifier, to reject noise and interference that is common to both the input signals.
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.
Output Resistance - (Measured in Ohm) - Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output.
Change in Transconductance - (Measured in Siemens) - Change in Transconductance is a measure of the ability of a device, such as a transistor or vacuum tube, to convert an input voltage signal into an output current signal.

STEP 1: Convert Input(s) to Base Unit

Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion here)
Output Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion here)
Change in Transconductance: 29 Millisiemens --> 0.029 Siemens (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CMRR = (2*g_m*R_out)/(Δg_m/g_m) --> (2*0.0005*4500)/(0.029/0.0005)

Evaluating ... ...

CMRR = 0.0775862068965517

STEP 3: Convert Result to Output's Unit

0.0775862068965517 --> No Conversion Required

FINAL ANSWER

0.0775862068965517 ≈ 0.077586 <-- Common Mode Rejection Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » MOSFET » Analog Electronics » Common Mode Rejection Ratio (CMRR) » Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches

Credits

Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 600+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 10+ Common Mode Rejection Ratio (CMRR) Calculators

Common-Mode Rejection Ratio of MOS with Current-Mirror Load

Go Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance)

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches

Go Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance)

Common-Mode Rejection Ratio of MOSFET given Resistance

Go Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance)

Common-Mode Rejection Ratio of MOS with Current-Mirror Load when Resistance at Drains are Equal

Go Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance)

Common-Mode Input Signal of MOSFET

Go Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Total Load Resistance of MOSFET)

Common-Mode Rejection Ratio of MOS Controlled Source Transistor

Go Common Mode Rejection Ratio in DB = (modulus(Differential Gain DB))/(modulus(Common Mode Gain DB))

Common-Mode Rejection Ratio of MOSFET in Decibels

Go Common Mode Rejection Ratio in DB = modulus(20*log10((Voltage Gain)/(Common Mode Gain DB)))

Common-Mode Signal of MOSFET given Output Voltage at Drain Q2

Go Drain Voltage Q1 = (2*Output Resistance*Common Mode Input Signal)/Drain Resistance

Common-Mode Signal of MOSFET given Resistance

Go Common Mode Input Signal = (2*Output Resistance*Output Voltage)/Load Resistance

Common-Mode Rejection Ratio of MOSFET

Go Common Mode Rejection Ratio = modulus((Voltage Gain)/(Common Mode Gain))

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches Formula

Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance)
CMRR = (2*g_m*R_out)/(Δg_m/g_m)

What does common mode rejection do?

Common-mode rejection is the ability of the differential amplifier (which sits between the oscilloscope and probes as a signal-conditioning preamp) to eliminate the common-mode voltage from the output. But as signal frequencies rise, CMRR deteriorates.

How to Calculate Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches?

Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches calculator uses Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance) to calculate the Common Mode Rejection Ratio, The Common-mode rejection ratio of MOSFET when transconductance mismatches formula is defined as a differential amplifier (or other devices) is a metric used to quantify the ability of the device to reject common-mode signals, i.e. those that appear simultaneously and in-phase on both inputs. Common Mode Rejection Ratio is denoted by CMRR symbol.

How to calculate Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches using this online calculator? To use this online calculator for Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches, enter Transconductance (g_m), Output Resistance (R_out) & Change in Transconductance (Δg_m) and hit the calculate button. Here is how the Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches calculation can be explained with given input values -> 0.077586 = (2*0.0005*4500)/(0.029/0.0005).

FAQ

What is Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches?

The Common-mode rejection ratio of MOSFET when transconductance mismatches formula is defined as a differential amplifier (or other devices) is a metric used to quantify the ability of the device to reject common-mode signals, i.e. those that appear simultaneously and in-phase on both inputs and is represented as CMRR = (2*g_m*R_out)/(Δg_m/g_m) or Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance). Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant, Output resistance refers to the resistance of an electronic circuit to the flow of current when a load is connected to its output & Change in Transconductance is a measure of the ability of a device, such as a transistor or vacuum tube, to convert an input voltage signal into an output current signal.

How to calculate Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches?

The Common-mode rejection ratio of MOSFET when transconductance mismatches formula is defined as a differential amplifier (or other devices) is a metric used to quantify the ability of the device to reject common-mode signals, i.e. those that appear simultaneously and in-phase on both inputs is calculated using Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Transconductance/Transconductance). To calculate Common-Mode Rejection Ratio of MOSFET when Transconductance Mismatches, you need Transconductance (g_m), Output Resistance (R_out) & Change in Transconductance (Δg_m). With our tool, you need to enter the respective value for Transconductance, Output Resistance & Change in Transconductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Common Mode Rejection Ratio?

In this formula, Common Mode Rejection Ratio uses Transconductance, Output Resistance & Change in Transconductance. We can use 4 other way(s) to calculate the same, which is/are as follows -

Common Mode Rejection Ratio = (2*Transconductance*Output Resistance)/(Change in Drain Resistance/Drain Resistance)
Common Mode Rejection Ratio = Transconductance*(1/(1/Primary Winding Resistance in Secondary+1/Secondary Winding Resistance in Primary))*(2*Change in Transconductance*Finite Output Resistance)
Common Mode Rejection Ratio = (Transconductance*Finite Output Resistance)*(Transconductance*Source Resistance)
Common Mode Rejection Ratio = modulus((Voltage Gain)/(Common Mode Gain))

Home

FREE PDFs

🔍 Search